(c): Suppose we have the following matrices. Which pairs of matrices can be validly multiplied together?...
matrices multiplication in matlab
only A&C
Consider three matrices: A = [6 -1 12 8 -5 6] B = [4 0 0.5 1] C = [2 -2 -3 1] Perform all possible multiplications that can be computed between these pairs of matrices. Perform the multiplications in Matlab and check the result by hand (showing work). Use the method in Box PT3.2 to justify why the remaining pairs cannot be multiplied. Perform the comparisons B > C and B < C...
In MATLAB:
Q1. Solve the following system of linear equations: -4x + 3y +z = -18 5x + 12y – 2z = 30 2x - 5y + 6z = 9 Q2. Given the following matrix: 1 2 A= 1-3 5 61 10 -2 3 -9 1 Define A in MATLAB and perform the following operations. Show the result and explain it. a. A*A b. A*A C. A./A d det(A) e. inv(A) Q3. Define A, B, and C in MATLAB and...
(1 point) Suppose that we have 5 matrices A a 3 x 2 matrix, B a 2 x 3 matrix, C a 4 x 4 matrix, D a 3 x 2 matrix, and Ea 4 x 4 matrix. Which of the following matrix operations are defined? A. A+D B. C+E C. 3C - 6D D. 4E-6D E. 4D + A F. 3A G. C+E+D H. 4B L. A + B
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Q2. Two matrices can be multiplied in number of different ways. Below is given four different ways of multiplying two matrices: 1) Using MATLAB generate any two matrices (A1oxs and Bsx10) and compute AB using all four 2) 3) methods Which of these methods would be computationally less expensive? Can you suggest any other way of multiplying these two matrices?
Q2. Two matrices can be multiplied in number of different ways. Below is given four...
please answer the five questions clearly. I have provided the
data.
7 Diagonal Matrices Diagonal Matrices If A = (a) is a square matrix, then the entries and are called diagonal entries. A square matrix is called diagonal if all non-diagonal entries are zeros. Explore what happens if we add, subtract or multiply diagonal matrices. A and B are the same matrices in previous sections ( section 5.) Type D-diag(diag(A)) to create a diagonal matrix from A. Type E-diag(diag(B)) to...
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3. In the next section of your script, insert the comment Problem 3. Create the following three matrices and show that the computations are equal (show the difference is the zero matrix): A= [1 2 1-2 -3 5] 2 4 0 6 B= [0 5 2 -2 1 7 1] -6 -1 C= 1-3 4 0 8 1-3 5 -1] 2 3 (a) Calculate A+B and B + A to show that addition of...
A positive integer n is split into x equal parts, which are then multiplied together. Suppose n 8. Then: xParts Product (approx) 8 16 18.962962 16 10.48576 5.618655 2.5465 4*4 3(8/3) (8/3) (8/3) 4222-2 7(8/TY 8 For n = 8, the maximum product occurs when x = 3. Suppose n 5000. Find x such that when n is split into x equal parts which are then multiplied together, the product is a maximum.
A positive integer n is split into...
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Enter the following matrices and vectors in MATLAB [ 2 -6 3 ] [ 5 ] -3 A= 2 -7 -2 , B= 2 -2 -3 , b= -13 , c= 3 -1 4], d= 0 [ 7 -2 7 [1 -8 -1 ] [ 10 (a) Perform the following operations: AB, BA, CA and Bd (use standard linear algebra multiplication). - 3 (b) Construct a 6 x...
C++ must use header files and implementation files as separate files. I’ll need a header file, implementation file and the main program file at a minimum. Compress these files into one compressed file. Make sure you have adequate documentation. We like to manipulate some matrix operations. Design and implement a class named matrixMagic that can store a matrix of any size. 1. Overload the addition, subtraction, and multiplication operations. 2. Overload the extraction (>>) and insertion (<<) operators to read...
We have discussed elementary elimination matrices M_k in class. Prove the following two properties of elementary elimination matrices, which are very important for making LU factorization work efficiently in practice: M_k is nonsingular. Represent M_k^-1 explicitly and show that M_kM_k^-1 = M_k^-1M_k = I. The product of two elementary elimination matrices M_k and M_j with k notequalto j is essentially their "union"; and therefore they can be multiplied without any computational cost.